Exact(3)
To adjust the border end points on the grid network, the border is considered as a couplet of neighboring strips of the two adjacent convex areas (Fig. 4a).
Fig. 3 Border end points on a) two adjacent convex areas, b) three convex areas, c) three convex areas when the shortest path passes through the middle of the border.
Fig. 4 a) border lines and end points between convex areas, b) E-lines connecting border end points, c) the E-line mediating the shortest path between A and C. In order to find the shortest angular path between any two points, it is only necessary to search the set of border end points and the lines connecting mutually visible end points (calling them E-lines hereafter) (Fig. 4b).
Similar(57)
To address this issue, instead of the end points on border strips, the end points on the actual border line between the convex areas are considered (i.e. the line where borders face each other as marked in Fig. 4a).
In other words, the end points of the borders between convex areas are crucial in forming the shortest angular paths.
For this purpose, Viraph creates a graph representing all E-lines (except for the lines connecting end points of the same border).
The target persistence term Eper penalises trajectories with start or end points far from the image border.
Primary end points included changes in global (LV ejection fraction) and regional (infarct and border zone) function.
Czech Republic/Germany THE ROUTE From Prague to Dresden, the mountainous Czech-German border area contains lightly traveled historic regions and dramatic scenery of Bohemia and Saxony between its urban end points.
Those are end points.
Two end points in sight.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com